GIVEN
[tex] \\ [/tex]
If y varies directly as x and y= 6 when x=3.
[tex] \\ y = kx \\ [/tex]
Evaluate the values
[tex] \\ 6 = k(3) \\ [/tex]
Divide 3 to both sides
[tex] \\ \frac{6}{3} = \frac{k(3)}{3} \\ [/tex]
Cancel both 3 from the right side
[tex] \\ \frac{6}{3} = \frac{k( \cancel{3})}{ \cancel{3}} \\ [/tex]
Divide 6 by 3
[tex] \\ \blue{k = 2} \\ [/tex]
[tex] \\ \\ [/tex]
Find y when x= 10. Use the constant of variation from the first equation.
[tex] \\ y = kx \\ [/tex]
Evaluate values
[tex] \\ y = (2)(10) \\ [/tex]
Multiply
[tex] \\ \boxed{ \green {\sf{ \large{y = 20} }}} \\ \\ \\ [/tex]
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